There was one British Invasion group which actually didn't have any Brits: The Walker Brothers. They were not really brothers and not really Walker.
The group included Scott Engel, eventually known professionally as Scott Walker, John Maus who has been using the name Walker since his teens, and Gary Leeds eventually known as Gary Walker.
The trio was from California, relocated to the UK to further their musical careers. After moving to Britain in 1965, they had a number of top ten albums and singles there, including the No. 1 chart hits "Make It Easy on Yourself" and "The Sun Ain't Gonna Shine (Anymore)", both of which also made the US top 20. In between the two was the lesser US hit "My Ship is Coming In". John Maus (John Walker) was married to Kathy Young ("A Thousand Stars") from 1965-1969.
Formed in 1964, they adopted the 'Walker Brothers' name as a show business touch even though the members were all unrelated, simply because they liked the name "Walker" They provided a unique counterpoint to the British Invasion by achieving much more success in the United Kingdom than in their home country, a period when the popularity of British bands dominated the U.S. charts.